Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₂²×C₄

Direct product G=N×Q with N=C₁₃ and Q=C₂²×C₄

		d	ρ	Label	ID
C₂²×C₅₂		208		C2^2xC52	208,45

Semidirect products G=N:Q with N=C₁₃ and Q=C₂²×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₂²×C₄) = C₂²×C₁₃⋊C₄	φ: C₂²×C₄/C₂² → C₄ ⊆ Aut C₁₃	52		C13:(C2^2xC4)	208,49
C₁₃⋊₂(C₂²×C₄) = C₂×C₄×D₁₃	φ: C₂²×C₄/C₂×C₄ → C₂ ⊆ Aut C₁₃	104		C13:2(C2^2xC4)	208,36
C₁₃⋊₃(C₂²×C₄) = C₂²×Dic₁₃	φ: C₂²×C₄/C₂³ → C₂ ⊆ Aut C₁₃	208		C13:3(C2^2xC4)	208,43

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